Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄.₁₂D₂₀

Direct product G=N×Q with N=C₃ and Q=C₄.₁₂D₂₀

		d	ρ	Label	ID
C₃×C₄.₁₂D₂₀		240	4	C3xC4.12D20	480,102

Semidirect products G=N:Q with N=C₃ and Q=C₄.₁₂D₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄.₁₂D₂₀) = C₆₀.₃₁D₄	φ: C₄.₁₂D₂₀/C₄.Dic₅ → C₂ ⊆ Aut C₃	240	4-	C3:1(C4.12D20)	480,39
C₃⋊₂(C₄.₁₂D₂₀) = C₄.D₆₀	φ: C₄.₁₂D₂₀/C₅×M₄(2) → C₂ ⊆ Aut C₃	240	4-	C3:2(C4.12D20)	480,184
C₃⋊₃(C₄.₁₂D₂₀) = C₁₂.₆D₂₀	φ: C₄.₁₂D₂₀/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240	4	C3:3(C4.12D20)	480,37

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